I want to output 5 or more alarms from a UT32A/UT35A with a contact output addition option, but there are no parameters for alarm 5 and above.

The maximum number of alarms on the UT32A/UT35A is 4. You can add a 5th or additional alarms by creating them using an alarm function in a ladder program. Note that the LL50A parameter setting software (sold separately) is required to use the ladder program function.